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If in a triangle ABC, the exradii r 1 , r 2 , r 3 are such that r 1 =2r 2 =3r 3 then prove that the triangle is right angled . Also find a:b:c. If in a triangle ABC, the exradii r1, r2, r3 are such that r1=2r2=3r3 then prove that the triangle is right angled . Also find a:b:c.
Dear student,r1=2r2=3r3Thenr1/6=r2/3=r3/2 =k using ratiosHence r1=6k,r2=3kr3=2kHence using the property of solution of trianle the required triangle is equilateral.Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.All the best.Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar respectively : Click here to download the toolbar..Askiitians ExpertSagar SinghB.Tech, IIT Delhi
Dear Sagar ji, Will you please solve this question in full as I could not prove the required results with the hints given by you. Few days back I had called and requested you for the same.Thanks. G P Agrawal F/o Nirabhra Agrawal
Dear Sagar ji,
Will you please solve this question in full as I could not prove the required results with the hints given by you. Few days back I had called and requested you for the same.Thanks.
G P Agrawal
F/o Nirabhra Agrawal
r1=6r by using a property 1/r1+1/r2+1/r3=1/rAs,r1=stanA/2, r=(s-a)tanA/2 ,So,s/(s-a)=6a=5s/6Similarly,b=2s/3,c=s/2,So,triangle is right angled at A
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